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On Tuesday, the Harris County medical examiner's office said he died because he was strangled and ruled his death a homicide. The cause of death was listed as "anoxic encephalopathy due to strangulation with chest compression."

Terry Thompson, 41, and his children pulled into a Denny's parking lot in the 17700 block of the Crosby Freeway in east Harris County, according to Gonzalez. Thompson, later identified as the husband of a sheriff's deputy, allegedly saw 24-year-old Hernandez urinating in public, according to Gonzalez.

When Thompson reportedly confronted Hernandez, a fight followed. The off-duty deputy, who arrived in a separate vehicle to meet her family at the restaurant, called for assistance from the sheriff's office and medical services, Sheriff Ed Gonzalez said. The deputy then helped her husband restrain the other man, but the altercation ended with a motionless Hernandez being rushed to the LBJ hospital, authorities said.

On Monday a lawyer released a bystander's one-minute video that shows part of the altercation, which apparently lasted about 10 minutes.

On Friday, Gonzalez and the attorney for the Hernandez family, Randall Kallinen, held separate news conferences to explain how each party would like the investigation to progress.

Gonzalez said the sheriff's office will provide a transparent and impartial investigation. He said it is waiting for the medical examiner to determine an official cause of death and reviewing video evidence.

Hernandez's family wants Thompson sent to prison. Kallinen believes Thompson would have already faced charges if he wasn't married to a deputy.

"We're kind of at a loss," Kallinen said. "(Thompson) would have been arrested under any other circumstance. It was out of the ordinary he was not arrested."